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Finding the Fourth Proportional to 448.08, 670.20 and 349.80

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Solution

The fourth proportional to 448.08, 670.20 and 349.80 is: 523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.08 : 670.20 = 349.80 : x
  2. Step 2: Convert to fraction form
    448.08/670.20 = 349.80/x
  3. Step 3: Cross multiply
    448.08x = 670.20 × 349.80
  4. Step 4: Simplify right side
    448.08x = 234,435.96
  5. Step 5: Solve for x
    x = 234,435.96/448.08
  6. Step 6: Final answer
    x = 523.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.